Solve 1-x/82+x/142=0.007

$$\frac{ 1-x }{ 82 } + \frac{ x }{ 142 } =0.007$$

Solve for x

$$x=1.0082$$

Steps for Solving Linear Equation

Multiply both sides of the equation by 5822, the least common multiple of 82,142.

$$71\left(1-x\right)+41x=40.754$$

Use the distributive property to multiply 71 by 1-x.

$$71-71x+41x=40.754$$

Combine -71x and 41x to get -30x.

$$71-30x=40.754$$

Subtract 71 from both sides.

$$-30x=40.754-71$$

Subtract 71 from 40.754 to get -30.246.

$$-30x=-30.246$$

Divide both sides by -30.

$$x=\frac{-30.246}{-30}$$

Expand \frac{-30.246}{-30} by multiplying both numerator and the denominator by 1000.

$$x=\frac{-30246}{-30000}$$

Reduce the fraction \frac{-30246}{-30000} to lowest terms by extracting and canceling out -6.

$$x=\frac{5041}{5000}$$